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cupoosta [38]
3 years ago
7

How many social security numbers are available if the only restriction is that the number 000-00-0000 cannot be assigned?

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0
Each digit can be 0-9 ( 10 numbers)
 there are 9 numbers in a social security number

multiply 10 nine times:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 =  1,000,000,000 ( 1 billion) possibilities.
 
 the restriction is it can't be all zeros so subtract 1 from the total
 1,000,000,000 - 1 = 999,999,999 combinations



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Answer:

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Option D:

$y=\frac{5x-2}{x}

Solution:

Given function:

$y=\frac{-2}{x-5}

To find the inverse of the function.

<u>Inverse of a function:</u>

<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

$y=\frac{-2}{x-5}

Interchange the variables x and y.

$x=\frac{-2}{y-5}

Now, solve for y.

Multiply both sides by (y - 5).

$x(y-5)=-\frac{2}{y-5}(y-5)

Cancel the common factors, we get

x(y-5)=-2

Divide by x on both sides.

$y-5=-\frac{2}{x}

Add 5 on both sides.

$y=-\frac{2}{x}+5

$y=-\frac{2}{x}+\frac{5}{1}

To make the denominator same, multiply the 2nd term by \frac{x}{x}.

$y=-\frac{2}{x}+\frac{5x}{x}

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8 0
3 years ago
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Arte-miy333 [17]

Answer: The box would have 99% of its volume taken up.

Step-by-step explanation: The box has dimensions as follows;

Length = 6 inches

Width = 5 inches

Height = 10 inches

Therefore the volume of the box shall become

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Volume = 6 x 5 x 10

Volume = 300 cubic inches

Also a 3 inch cube would have its volume given as follows (

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Percentage = (Volume of cubes/Volume of box) x 100

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Therefore the box would have 99% of its volume taken up by the cubes.

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